Atkin-Lehner |
2+ 3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24966g |
Isogeny class |
Conductor |
24966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
11065730112 = 26 · 38 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5013,137781] |
[a1,a2,a3,a4,a6] |
Generators |
[15:249:1] |
Generators of the group modulo torsion |
j |
19113403497553/15179328 |
j-invariant |
L |
3.5883713832444 |
L(r)(E,1)/r! |
Ω |
1.2683678780229 |
Real period |
R |
0.70728127174702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322k1 |
Quadratic twists by: -3 |